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arXiv · 2009.01621

Local well-posedness in Sobolev spaces for first-order barotropic causal relativistic viscous hydrodynamics

Fabio S. Bemfica·Marcelo M. Disconzi·P. Jameson Graber
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Abstract

We study the theory of relativistic viscous hydrodynamics introduced in arXiv:1109.0985 and arXiv:1907.12695, which provided a causal and stable first-order theory of relativistic fluids with viscosity in the case of barotropic fluids. The local well-posedness of its equations of motion has been previously established in Gevrey spaces. Here, we improve this result by proving local well-posedness in Sobolev spaces.

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Fabio S. Bemfica, Marcelo M. Disconzi, P. Jameson Graber. 2020-09-01. Local well-posedness in Sobolev spaces for first-order barotropic causal relativistic viscous hydrodynamics. https://arxiv.org/abs/2009.01621

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